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211403200421133 = 32723145895928517
BaseRepresentation
bin110000000100010100100100…
…101010100101110100001101
31000201111221121112000100022200
4300010110210222211310031
5210202112223301434013
62025341142313232113
762346243244525050
oct6004244452456415
91021457545010280
10211403200421133
11613a56594053a6
121b863434102639
1390c630c0a9686
143a2bd80416a97
1519691380c4e73
hexc04524aa5d0d

211403200421133 has 24 divisors (see below), whose sum is σ = 364156237580928. Its totient is φ = 115549575384672.

The previous prime is 211403200421123. The next prime is 211403200421143. The reversal of 211403200421133 is 331124002304112.

211403200421133 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 0 + 3 + 200 + 421 + 1 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (211403200421123) and next prime (211403200421143).

It is not a de Polignac number, because 211403200421133 - 222 = 211403196226829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211403200421097 and 211403200421106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211403200421123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72947962810 + ... + 72947965707.

It is an arithmetic number, because the mean of its divisors is an integer number (15173176565872).

Almost surely, 2211403200421133 is an apocalyptic number.

211403200421133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211403200421133 is a deficient number, since it is larger than the sum of its proper divisors (152753037159795).

211403200421133 is a wasteful number, since it uses less digits than its factorization.

211403200421133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145895928553 (or 145895928550 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 211403200421133 its reverse (331124002304112), we get a palindrome (542527202725245).

The spelling of 211403200421133 in words is "two hundred eleven trillion, four hundred three billion, two hundred million, four hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 145895928517 437687785551 1021271499619 1313063356653 3063814498857 3355606355891 9191443496571 10066819067673 23489244491237 30200457203019 70467733473711 211403200421133